College

Which correlation is the weakest?

Options:
A. [tex]$14$[/tex]
B. [tex]$-.25$[/tex]
C. [tex]$-.08$[/tex]
D. [tex]$.75$[/tex]
E. [tex]$-.82$[/tex]
F. [tex]$-.97$[/tex]
G. [tex]$.95$[/tex]

Answer :

To identify the weakest correlation among the given values, you need to find the number that is closest to zero. Correlations can range from -1 to 1, where:

- A correlation of 1 indicates a perfect positive relationship.
- A correlation of -1 indicates a perfect negative relationship.
- A correlation of 0 indicates no relationship at all.

The closer the value is to zero, the weaker the correlation.

Let's examine the given values: 0.14, -0.25, -0.08, 0.75, -0.82, -0.97, and 0.95.

1. 0.14 is relatively small but positive.
2. -0.25 is negative and somewhat close to zero.
3. -0.08 is negative and very close to zero.
4. 0.75 is a strong positive correlation.
5. -0.82 is a strong negative correlation.
6. -0.97 is an even stronger negative correlation.
7. 0.95 is a strong positive correlation.

Among these, -0.08 is the closest to zero, indicating the weakest correlation. Thus, the weakest correlation among the given options is -0.08.